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745954560 = 283251317293
BaseRepresentation
bin101100011101100…
…101110100000000
31220222122102021200
4230131211310000
53011431021220
6202004221200
724325336431
oct5435456400
91828572250
10745954560
1135308777a
1218999a800
13bb70c340
14710db488
154574d890
hex2c765d00

745954560 has 432 divisors, whose sum is σ = 2952999504. Its totient is φ = 172228608.

The previous prime is 745954553. The next prime is 745954567. The reversal of 745954560 is 65459547.

745954560 is a `hidden beast` number, since 7 + 4 + 595 + 4 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (745954553) and next prime (745954567).

It can be written as a sum of positive squares in 8 ways, for example, as 18249984 + 727704576 = 4272^2 + 26976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745954567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545774 + ... + 2546066.

It is an arithmetic number, because the mean of its divisors is an integer number (6835647).

Almost surely, 2745954560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476499752).

745954560 is an abundant number, since it is smaller than the sum of its proper divisors (2207044944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

745954560 is a wasteful number, since it uses less digits than its factorization.

745954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 745954560 is about 27312.1687165263. The cubic root of 745954560 is about 906.9237832880.

The spelling of 745954560 in words is "seven hundred forty-five million, nine hundred fifty-four thousand, five hundred sixty".